Answer:
The length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Step-by-step explanation:
She has 14 feet of edging to go around the collage.
14 feet = Perimeter of the triangle
The Perimeter of a Triangle = a + b + c where
a = smallest side
b = other side(second side)
c = Longest side
From the question, we are told that:
If the longest side is twice the smallest
c = 2a
The other side is four less than three times the smallest,
The other side = b
b = 3 × a - 4
b = 3a - 4
Hence,
P = a + b + c
14 = a + 3a - 4 + 2a
14 = a + 3a + 2a -4
14 = 6a - 4
Collect like terms
14 + 4 = 6a
18 = 6a
a = 18/6
a = 3ft
Therefore the smallest side = 3
The Longest side(c) = 2a
c = 2 × 3
c = 6ft
The other side(b) = 3a - 4
= 3(3) - 4
= 9 - 4
= 5 feet.
Therefore, the length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?
Answer:
a) $165
b) $4180
Step-by-step explanation:
15×11=165
4,345-165=4180
a) The sum of these monthly payments is $165
b) Chris pay in the last month of this plan is $4180
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
For example
Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Price for furniture set = $4,345
a) The sum of these monthly payments
=15×11
=$165
b) Chris pay in the last month of this plan
=4,345-165
= $4180
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Can you guys help me with this, it's due today
Answer:
i think its D
Step-by-step explanation:
A building has 40 apartments on 5 floors
what is the unit rate?
Answer:
8 is the right answer
Step-by-step explanation:
because 40 devided by 5 is 8
This is due today and I don’t really get it so I need some help!
I'm not sure if you dont know maybe put C
Please answer this i have 3 minutes left before its due
Answer:
Step-by-step explanation:
Y=-1/7x-30/7
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250
65+28H≤250
Step-by-step explanation:
Anand can afford at most 6 hours.
Step-by-step explanation:
Solve the equation below. 3/2x – 5 = 7
Answer:
x = 8
Step-by-step explanation:
Add 5 to each side, so it now looks like this: [tex]\frac{3}{2}x = 12[/tex] Divide each side by 3/2, so it now looks like this: x = 8I hope this helps!
Solve for g
-3+5+6g=11-3g−3+5+6g=11−3g
Answer:
ok the number you have you mulitiply it then you add the number you multipled then you will get you answer
Step-by-step explanation:
hope this works
Answer:
g = 1
Step-by-step explanation:
angle is bisected, forming two new angles. If the original angle had a measure of 52° t is the measure of each new angle? Enter the number only. help asap
The measure of each new angle is 26°
16xy = W Solve for x. I need help
Answer:
[tex]x = \frac{W}{16y} [/tex]
Step-by-step explanation:
To solve for x, we need to arrive at the equation of x=___.
[tex]16xy = W[/tex]
Divide by 16y on both sides:
[tex]x = \frac{W}{16y} [/tex]
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
1. (7, 0)
2. (11, 3)
3. (−3, 3)
4. (−1, −6)
Answer:
1. (7, 0)
2. (11, 3)
4. (−1, −6)
These are correct
what is the solution of the equation?
14+b=6
Answer:
b is -8
Step-by-step explanation:
Answer:
b=-8
Step-by-step explanation:
14+b=6
b=6-14
b=-8
Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.
Original division problem: 3/5 divided by 5/8
Step 1: 3/5• 8/5
Step 2: 3•8
5•5
Step 3: 24/5
Step 4: 4 4/5
Please help fast :)
Answer:
step two
Step-by-step explanation:
Which expression is equivalent to (f9)(5)?
Answer:
i think it would be fx9x5
Step-by-step explanation:
sorry if its not write
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?
Group of answer choices
A. s + h =40
18s +14h = 700
B. 18s +14h =40
s + h =700
C. 40s + h +700
18s + 14h = 700
D. No answer text provided.
Answer:
A. s + h = 40 18s + 14h = 700Step-by-step explanation:
club sold 40 scarves and hats so the sum of scarves and hats is 40
s + h = 40 - one of equations
They charged $18 for each scarf and $14 for each hat so:
18×s - money made from scarves
14×h - money made from hats
18s + 14h - sum of money made from scarves and hats so:
18s + 14h = 700 - second of equatinons
The system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold.
The system of equations is as follows,
s + h =40
18s +14h = 700
Thus,the system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
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Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Answer:
She can buy a maximum number of 15 containers
Step-by-step explanation:
We are told from the question that:
Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.
Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Let x represent the number of Can of tulips for both tulips and lilies
x ≥ 5 cans for both tulips and lilies
$6 × x + $4 × x = $75
6x + 4x = 75
10x = 75
x = 75/10
x = 7.5 cans
This means , 7.5 containers for tulips and 7.5 containers for lilies
Adding up both containers, we have :
7.5 + 7.5 = 15 containers
Therefore, the greatest number of containers she can buy is 15 containers
Complete the following to check your understanding.
Question 1
What is the "friendliest" fraction to use when estimating 52% of 120?
what is the measure abe
Answer:
angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees
Step-by-step explanation:
Can somebody help please?
Also there are 10 people :3
Answer:
12
Step-by-step explanation:
adding them altogether
2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.
Answer:
d. grams per cubic centimeter
Step-by-step explanation:
The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.
At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Answer:24 dogs
Step-by-step explanation:8x3
what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?
someone help ASAP
Answer:
92 1/15
Step-by-step explanation:
74=19=92
3/5 and 2/5
3times 5 is 15
denominator is 15
9-10=1
92 1/15
help asap
solve them all i will mark u brainllest
Answer: (15) see below (16) 284 (17) option 1 (18) option 3
(19) see below (20) 33 (21) L = 50, w = 10
Step-by-step explanation:
15) 7xy + 3x + 5
↓ ↓ ↓
↓ ↓ 5 is a term with no variable so is a constant
↓ 3x is a term with a coefficient of 3
7xy is a term with a coefficient of 7
Constant Coefficient Term
7 X
3x X
5 X X
16) 12a² - 3 |b| + 2a ; a = -5, b = -2
12(-5)² - 3 |-2| + 2(-5)
= 12(25) - 3(2) - 10
= 300 - 6 - 10
= 294 - 10
= 284
17) 4(k + 5) = -2(9k - 4)
4k + 20 = -18k + 8 Distributed 4 and -2
22k + 20 = 8 Added 18k to both sides
22k = -12 Subtracted 20 from both sides
k = -12/22 Divided 21 from both sides
k = -6/11 Simplified (GCF = 2)
18) V = π r²h
V/(π r²) = h Divided π r² from both sides
19) v = s² + (1/2)sh
v - s² = (1/2)sh Subtracted s² from both sides
2(v - s²) = sh Multiplied both sides by 2
2(v - s²)/s = h Divided s from both sides
1 2 3
subtract s² X
divide by s X
multiply by 2 X
20) F = (9/5)C + 32 ; F = 91
91 = (9/5)C + 32
59 = (9/5)C Subtracted 32 from both sides
295 = 9C Multiplied both sides by 5
32.8 = C Divided 9 from both sides
33 = C Rounded to the nearest whole number
21) Perimeter (P) = 2Length (L) + 2width (w)
Given: P = 120, L = 5w
P = 2L + 2w
120 = 2(5w) + 2w
120 = 10w + 2w
120 = 12w
10 = w
L = 5w
= 5(10)
= 50
A volleyball team scored 14 more points in its first game than in its third game. In the second game, the team scored 28 points. The total number of points scored was less than 80. What is the greatest number of points the team could have scored in its first game?
Answer:
27
Step-by-step explanation:
Let the no. of points scored in third game x
given that
A volleyball team scored 14 more points in its first game than in its third game
Then
no. of points scored in First game = x + 14
no. of points scored in Second game = 28
Total no of points scored in three games = x + x + 14 + 28 = 2x + 42
given that The total number of points scored was less than 80
thus
2x + 42 < 80
2x < 80 -42
2x < 28
x < 14
now we know that x is less than
and since x is point scored it will be integer as point cannot be in fraction
and greatest integer less than 14 will be 13
Thus, greatest point scored in third game will be 13
similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27
Find the slope of the line through the points (-1,3), and (2,-6)
(PLEASE HELP)
Answer: slope = -3
Step-by-step explanation:
m = y2 - y1 / x2- x1
m = -6 -3 / 2+1
m = -9 / 3
m = -3
The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x) 60 - 1.5x.
Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
What is loan?A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.
Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.
Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
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4+7a=12+8a
with steps pls
Answer:a=-8
Step-by-step explanation:
4+7a=12+8a
So first you want to have the variables on the same side
4+7a-7a=12+8a-7a
This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes
4=12+a
Now there are two ways of doing this.
1. 4-12=12-12+a
You moved the 12 to the left side so you have the same variable on one side
4-12=-8
So then a=-8
Or
2. 4-4=12-4+a
0=8+a
then you would have to subtract 8 to keep 'a' by itself
-8=8-8+a
simplify it
-8=a
same thing
what is x ^ 2 × x^-12
Answer:
1/x^10
Step-by-step explanation:
hope that helps:)